Nonoscillation and asymptotic behaviour for third order nonlinear differential equations |
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| Authors: | Aydin Tiryaki A Okay Çelebi |
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| Institution: | (1) Mathematics Department, Hacettepe University, Faculty of Science, 06532 Beytepe-Ankara, Turkey;(2) Mathematics Department, Middle East Technical University, 06531 Ankara, Turkey |
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| Abstract: | In this paper we consider the equation y
 +q(t)y
  + p(t)h(y)=0, where p, q are real valued continuous functions on 0,  ) such that q(t)  0, p(t) 0 and h(y) is continuous in (–, ) such that h(y)y > 0 for y  0. We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied. |
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| Keywords: | Third order nonlinear differential equations nonoscillatory solutions asymptotic properties of solutions |
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